Two contributions to the magnetic anisotropy (MA), magnetic-dipole anisotropy (MDA) and magnetocrystalline anisotropy (MCA), are calculated and compared to experiments.
MDA energies (MDAE) \(K_\text{D}\)  are calculated by a direct lattice summation over Eu atoms in a sufficiently large sphere to ensure convergence.
MCA energies (MCAE) \(K\)  are calculated using density functional theory (DFT) as implemented in Vienna ab initio simulation package (Vasp) [1]}, [2]}.
We calculate the total energies of AFM A-type and FM orderings with different spin orientations.
The MCAE of a particular magnetic ordering is calculated as
\(K=E_{001}-E_{100},\) 
